Least Common Multiple (LCM) of 29 and 58
The least common multiple (LCM) of 29 and 58 is 58.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 29 and 58?
First, calculate the GCD of 29 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 58 = 0 remainder 29 |
| 2 | 58 ÷ 29 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 42 | 504 |
| 110 and 144 | 7920 |
| 138 and 182 | 12558 |
| 128 and 198 | 12672 |
| 164 and 171 | 28044 |